Fundamentals of Deductive Reasoning - Mathematics

Understanding Mathematical Logic, Proofs and Logical Operations
Rating: 4.2 out of 5 (13 ratings)
3,874 students
Fundamentals of Deductive Reasoning - Mathematics
Rating: 4.2 out of 5 (13 ratings)
3,907 students
Mathematical Statements
Operations on Statements such as "and", "or", contrapositive, Implications, Biconditionals, Converse, etc.
Validating Statements (Identifying Whether a Statement is True or False)

Requirements

  • The student must understand basic mathematics all the way up to and including class 11 (Indian Educational System).
Description

In this course, you will learn how to work with mathematical statements, do different operations on them and identify whether they are true or false. We will also talk a little bit about proofs in mathematics here.

This course does not assume much basics so you might "probably" be able to understand the contents of the course if you know basic high school mathematics. However, we are assuming that you know mathematics all the way up to class 11 high school based on the Indian educational system. If you have not gone to school in India and still want to take the course, it is recommended to take a look at our road map in which, all the necessary information regarding your assumed knowledge can be found.

To access the road map, please search for "greatitcourses" on the Internet. Once you get to the website, please read the page titled as, "Mathematics 6-12 Standard".

To locate this particular course in the road map, you can find it under "class 11" with the title, "Mathematical Reasoning".

Thank you!

Who this course is for:
  • High School Students who are looking to understand basic mathematics in order to use it in higher mathematics, science or engineering
Course content
6 sections • 32 lectures • 16h 35m total length
  • Instructor Introduction
    03:21
  • Course Info and Road Map
    01:36
  • Mathematical Statements #1
    29:22
  • Mathematical Statements #2
    28:39
  • Exercise 14.1
    34:30
  • The Negation of a Statement #1
    34:42
  • The Negation of a Statement #2
    25:00
  • Compound Statements
    33:13
  • Exercise 14.2
    28:31
  • "And" as a Connective in Compound Statements
    32:22
  • “OR” as a Connective in Compound Statements #1
    33:42
  • “OR” as a Connective in Compound Statements #2
    38:19
  • Quantifiers
    25:46
  • Exercise 14.3
    36:25
  • Implications #1
    32:02
  • Implications #2
    20:27
  • Converse, Contrapositive, Biconditional #1
    29:22
  • Converse, Contrapositive, Biconditional #2
    48:02
  • Exercise 14.4
    26:18
  • Validating Statements #1
    35:51
  • Validating Statements #2
    42:37
  • Validating Statements #3
    32:10
  • Validating Statements #4
    37:37
  • Exercise 14.4 #1
    36:02
  • Exercise 14.4 #2
    28:44
  • Exercise 14.4 #3
    37:13
  • Exercise 14.4 #4
    39:36
  • Miscellaneous Examples #1
    31:53
  • Miscellaneous Examples #2
    29:07
  • Miscellaneous Exercise #1
    38:06
  • Miscellaneous Exercise #2
    27:53
  • Miscellaneous Exercise #3
    37:10

Instructor
Mathematics
Great IT Courses
  • 4.1 Instructor Rating
  • 385 Reviews
  • 24,648 Students
  • 20 Courses

At Great IT Courses, you can follow a simple but effective system to learn mathematics. By following our road map, you'll be taken through all the ups and downs of mathematics starting from the basics (class 6) all the way through calculus (class 12).

Wherever you get stuck, we will assist you so that you can keep moving and finish the road map.

With us, you will learn how to reason your way through mathematics logically and not just memorize some formulas.